Structure-preserving approximation of the non-isothermal Cahn-Hilliard system based on the entropy equation
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914305246494720 |
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| author | Brunk, Aaron Höhn, Dennis Lukáčová-Medvidová, Mária |
| author_facet | Brunk, Aaron Höhn, Dennis Lukáčová-Medvidová, Mária |
| contents | We propose and analyze a structure-preserving approximation of the non-isothermal Cahn-Hilliard equation using conforming finite elements for the spatial discretization and a problem-specific mixed explicit-implicit approach for the temporal discretization. To ensure the preservation of structural properties, i.e. conservation of mass and internal energy as well as entropy production, we introduce a suitable variational formulation for the continuous problem, based on the entropy equation. Analytical findings are supported by numerical tests, including convergence analysis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_23933 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Structure-preserving approximation of the non-isothermal Cahn-Hilliard system based on the entropy equation Brunk, Aaron Höhn, Dennis Lukáčová-Medvidová, Mária Numerical Analysis We propose and analyze a structure-preserving approximation of the non-isothermal Cahn-Hilliard equation using conforming finite elements for the spatial discretization and a problem-specific mixed explicit-implicit approach for the temporal discretization. To ensure the preservation of structural properties, i.e. conservation of mass and internal energy as well as entropy production, we introduce a suitable variational formulation for the continuous problem, based on the entropy equation. Analytical findings are supported by numerical tests, including convergence analysis. |
| title | Structure-preserving approximation of the non-isothermal Cahn-Hilliard system based on the entropy equation |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2506.23933 |